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Finding the Fourth Proportional to 91.52, 126.16 and 72.16

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Solution

The fourth proportional to 91.52, 126.16 and 72.16 is: 99.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.52 : 126.16 = 72.16 : x
  2. Step 2: Convert to fraction form
    91.52/126.16 = 72.16/x
  3. Step 3: Cross multiply
    91.52x = 126.16 × 72.16
  4. Step 4: Simplify right side
    91.52x = 9,103.71
  5. Step 5: Solve for x
    x = 9,103.71/91.52
  6. Step 6: Final answer
    x = 99.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.